Solid geometry, stereometry - page 41 of 120
Number of problems found: 2399
- Dimensions 30111
The hall has dimensions of 60m, 28m, and a height of 3m. How many hours will it take to paint it if it takes 3 minutes to paint 1 square meter? The walls and ceiling are painted, and the windows take up 1/3 of the total area that needs to be painted.
- Four-sided 27601
The house's roof has the shape of a regular four-sided pyramid 4 m high with a base edge of 100 dm. We consider 30% of the roofing in addition to the overlap. Calculate how much m² of roofing is needed to cover the roof.
- Dimensions 26401
How many square meters of wallpaper will we need to cover the walls of a room with dimensions of 3 m and 4 m if the room height is 2.5 m? A door with dimensions of 90 cm and 2 m leads to the room. There is one window 1 m wide and 1.5 m high.
- Cylindrical 7804
The garden children's pool has the shape of a cylinder with a base diameter of 3.2 m and a depth of 60 cm. The water reaches 10 cm below the top edge. How many m² of the surface of the cylindrical wall of the pool is above the water? Rounds to the whole m
- Wooden prism
Find the weight of a regular wooden triangular prism with a height equal to the base's perimeter and a figure inscribed in a circle with a radius of 6.M cm, where M is the month of your birth. The density of oak is 680 kg/m³.
- The square
The square oak board (with density ρ = 700 kg/m3) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board?
- Painter
If one liter of paint covers an area of 5 m2, how much paint is needed to cover: a) rectangular swimming pool With dimensions of 4m x 3m x 2.5m (the Inside walls and the floor only) b) the Inside walls and floor of a cylindrical reservoir with
- Tinsmith
Tinsmith constructs chimney pipe 186 cm long and 16 cm wide. A pipe is made from the plate overlap at the joint and needs to add $x cm width of the plate. What dimensions of the sheet will have to be prepared for the construction?
- Cylinder-shaped 31951
How many kg of paint do you need to buy to paint a 1.5m high cylinder-shaped rainwater cover with a 0.7m radius? We paint the barrel from the outside and inside, and 100 grams of paint is needed to paint 1 square meter.
- Excavation 8581
When building a new road, excavating a 280m long road in the ground was necessary. The bottom width, where the road runs, was 20m wide. At the top, the entire excavation was 30m wide. The depth of the excavation is 6 m. How much m³ of soil had to be remov
- Whitewashed 3483
The pool is in the shape of a vertical prism with a bottom in the shape of an isosceles trapezoid with dimensions of the bases of the trapezoid 10m and 18m, and arms 7m are 2m deep. During spring cleaning, the bottom and walls of the pool must be whitewas
- Spherical 83427
The bowl, in the shape of part of a spherical surface, has a diameter of 28 cm at the top edge and is 8 cm deep. What is the total volume of the bowl? How much water would you have to pour into the bowl to fill it halfway?
- Centimeters of water
A children's pool in the shape of a cylinder with a base diameter of d = 3 m contains V = 21 hl of water. How deep is it when the water reaches 10 cm below the edge? State the result in centimeters and round to the nearest whole number.
- Giant coin
From coinage, metal was produced into giant coins and applied so much metal, such as producing 10 million actual coins. What has this giant coin's diameter and thickness if the ratio of diameter to thickness is the same as an actual coin, which has a diam
- Reinforcement 42491
The concrete ring (used for reinforcement in wells) has an inner diameter of 800 mm and an outer diameter of 900 mm. It is made of concrete with a density of 2,500 kg/m³. Its height is 1 m. Calculate its mass.
- The pool
The pool is 25 meters long, 10 meters wide, and 1.5 meters deep. How many liters are needed to fill it completely? How much will the new floor and wall paneling cost if one m² costs 10 euros?
- Block-shaped 8378
How much paint does Peter use to paint a block-shaped sheet metal garage (without the lower base) with dimensions of 8m, 5.5m, and a height of 2.5m, if 1kg of paint is enough for a 4m square area?
- Centimeters 7526
The gardener used 18 poles with a base of 15.15 cm and a height of 150 centimeters to fence the plot. Calculate how much paint he will need to paint the columns twice. One kilogram of paint covers eight square meters.
- Two-thirds 3388
The kneaded cake dough has a volume of 1.8 l. When baking, it increases its volume by about two-thirds. Can a baked wheel fit on a baking sheet measuring 36x30x8cm? How tall will the cake be after baking?
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